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DOE OSTI · 22921133

On the Cauchy Problem for the Wave Equation with Data on the Boundary

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Abstract

The Cauchy problem for the wave equation in Ω × ℝ with data given on some part of the boundary ∂Ω × ℝ is considered. A reconstruction algorithm for this problem based on analytic expressions is given. This result is applicable to the problem of determining a nonstationary wave field arising in geophysics, photoacoustic tomography, tsunami wave source recovery.

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97 MATHEMATICS AND COMPUTINGALGORITHMSCAUCHY PROBLEMGEOPHYSICSMATERIALS RECOVERYTOMOGRAPHYTSUNAMISWAVE EQUATIONS

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2019-12-15. On the Cauchy Problem for the Wave Equation with Data on the Boundary. https://doi.org/10.1007/s10958-019-04571-9

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